The ratio of Red Apples to Green Apples is 5:2. The proportion of red apple is 5/7.
The store sold 45 red apples.
So the combined amount of red and green apples sold = No of red apples sold divided by the proportion of red apples = 45/ (5/7) = 63
The combined amount of red and green apples sold is 63 apples.
Solve your equation step-by-step.
3(x+1)=−2(x−1)−4
Simplify both sides of the equation.
3(x+1)=−2(x−1)−4
Simplify:
3x+3=−2x−2
Add 2x to both sides.
3x+3+2x=−2x−2+2x
5x+3=−2
Subtract 3 from both sides.
5x+3−3=−2−3
5x=−5
Divide both sides by 5.
5x/5 = −5/5
x=−1
Answer:
A sample of 16577 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
99% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?
We have no estimation for the proportion, and thus we use 
, which is when the largest sample size will be needed.
The sample size is n for which M = 0.01. So
Rounding up:
A sample of 16577 is required.
Wages wages wages wages wages wages wages wages wages wages wages
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
